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Termination analyses investigate the termination behavior of programs, intending to detect nontermination, which is known to cause a variety of program bugs (e.g. hanging programs, denial-of-service vulnerabilities). Beyond formal…

Software Engineering · Computer Science 2022-08-01 Yoav Alon , Cristina David

Proving program termination is typically done by finding a well-founded ranking function for the program states. Existing termination provers typically find ranking functions using either linear algebra or templates. As such they are often…

Logic in Computer Science · Computer Science 2014-10-21 Cristina David , Daniel Kroening , Matt Lewis

This Survey provides an overview of techniques in termination analysis for programs with numerical variables and transitions defined by linear constraints. This subarea of program analysis is challenging due to the existence of undecidable…

Programming Languages · Computer Science 2026-01-27 Amir M. Ben-Amram , Samir Genaim , Joël Ouaknine , James Worrell

The classical technique for proving termination of a generic sequential computer program involves the synthesis of a ranking function for each loop of the program. Linear ranking functions are particularly interesting because many…

Programming Languages · Computer Science 2012-04-03 Roberto Bagnara , Fred Mesnard , Andrea Pescetti , Enea Zaffanella

There are many techniques and tools to prove termination of C programs, but up to now these tools were not very powerful for fully automated termination proofs of programs whose termination depends on recursive data structures like lists.…

Logic in Computer Science · Computer Science 2023-06-06 Jera Hensel , Jürgen Giesl

The general setting of this work is the constraint-based synthesis of termination arguments. We consider a restricted class of programs called lasso programs. The termination argument for a lasso program is a pair of a ranking function and…

Logic in Computer Science · Computer Science 2014-01-22 Matthias Heizmann , Jochen Hoenicke , Jan Leike , Andreas Podelski

It is widely acknowledged that function symbols are an important feature in answer set programming, as they make modeling easier, increase the expressive power, and allow us to deal with infinite domains. The main issue with their…

Artificial Intelligence · Computer Science 2020-02-19 Marco Calautti , Sergio Greco , Cristian Molinaro , Irina Trubitsyna

Program termination is a hot research topic in program analysis. The last few years have witnessed the development of termination analyzers for programming languages such as C and Java with remarkable precision and performance. These…

Programming Languages · Computer Science 2013-07-26 Roberto Bagnara , Fred Mesnard

Programs with multiphase control-flow are programs where the execution passes through several (possibly implicit) phases. Proving termination of such programs (or inferring corresponding runtime bounds) is often challenging since it…

Programming Languages · Computer Science 2021-09-13 Jesús J. Domenech , Samir Genaim

Proving programs terminating is a fundamental computer science challenge. Recent research has produced powerful tools that can check a wide range of programs for termination. The analog for probabilistic programs, namely termination with…

Logic in Computer Science · Computer Science 2012-04-16 Javier Esparza , Andreas Gaiser , Stefan Kiefer

The problem of determining whether or not any program terminates was shown to be undecidable by Turing, but recent advances in the area have allowed this information to be determined for a large class of programs. The classic method for…

Logic in Computer Science · Computer Science 2020-08-10 G. W. Hamilton

For logic programs with arithmetic predicates, showing termination is not easy, since the usual order for the integers is not well-founded. A new method, easily incorporated in the TermiLog system for automatic termination analysis, is…

Programming Languages · Computer Science 2007-05-23 Nachum Dershowitz , Naomi Lindenstrauss , Yehoshua Sagiv , Alexander Serebrenik

We present a novel approach to termination analysis. In a first step, the analysis uses a program as a black-box which exhibits only a finite set of sample traces. Each sample trace is infinite but can be represented by a finite lasso. The…

Logic in Computer Science · Computer Science 2022-10-18 Matthias Heizmann , Jochen Hoenicke , Andreas Podelski

Vector addition systems are an important model in theoretical computer science and have been used for the analysis of systems in a variety of areas. Termination is a crucial property of vector addition systems and has received considerable…

Logic in Computer Science · Computer Science 2017-10-31 Florian Zuleger

There are many techniques and tools for termination of C programs, but up to now they were not very powerful for termination proofs of programs whose termination depends on recursive data structures like lists. We present the first approach…

Logic in Computer Science · Computer Science 2023-07-21 Jera Hensel , Jürgen Giesl

Size-Change Termination is an increasingly-popular technique for verifying program termination. These termination proofs are deduced from an abstract representation of the program in the form of "size-change graphs". We present algorithms…

Logic in Computer Science · Computer Science 2015-07-01 Amir M. Ben-Amram , Chin Soon Lee

Determining whether a given program terminates is the quintessential undecidable problem. Algorithms for termination analysis are divided into two groups: (1) algorithms with strong behavioral guarantees that work in limited circumstances…

Programming Languages · Computer Science 2021-09-16 Shaowei Zhu , Zachary Kincaid

We present necessary and sufficient conditions for the termination of linear homogeneous programs. We also develop a complete method to check termination for this class of programs. Our complete characterization of termination for such…

Programming Languages · Computer Science 2014-09-11 Rachid Rebiha , Arnaldo Vieira Moura , Nadir Matringe

Many programs allow the user to input data several times during its execution. If the program runs forever the user may input data infinitely often. A program terminates if it terminates no matter what the user does. We discuss various ways…

Combinatorics · Mathematics 2014-11-04 William Gasarch

The scope of this work is the constraint-based synthesis of termination arguments for the restricted class of programs called linear lasso programs. A termination argument consists of a ranking function as well as a set of supporting…

Logic in Computer Science · Computer Science 2014-01-22 Jan Leike
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